论文标题
全息图中三个维度的单孔和限制
Monopoles and confinement in three dimensions from holography
论文作者
论文摘要
我们研究了一个限制的三维$ \ mathcal {n} = 1 $ supersymmetric $ \ text {u}（n）\ times \ times \ text {u}（n+m）$带有全息偶对应于已知的字符串理论解决方案的偶数。该理论具有一个全局$ \ text {u}（1）$对称性，在该$中，磁性单杆被充电。我们引入了单孔的温度和外部磁场，并发现随着两者的任何一个升高，都有解剖相变的变化，从而支持单极凝结作为可能的限制机制。我们发现，随着磁场的增加，过渡是二阶，这是反量转换的全息二偶，这是一个不是一阶的示例。我们还在相图中揭示了丰富的结构，具有三重点和一个临界点，一阶跃迁结束的临界点。
We study the phase diagram of a confining three-dimensional $\mathcal{N}=1$ supersymmetric $\text{U}(N)\times\text{U}(N+M)$ theory with holographic dual corresponding to a known string theory solution. The theory possesses a global $\text{U}(1)$ symmetry under which magnetic monopoles are charged. We introduce both temperature and an external magnetic field for monopoles and find that there are deconfinement phase transitions as any of the two is increased, supporting monopole condensation as the possible mechanism for confinement. We find that the transition as the magnetic field is increased is second order, providing the first example in holographic duals of a deconfinement transition which is not first order. We also uncover a rich structure in the phase diagram, with a triple point and a critical point where a line of first order transitions end.
